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We report a comprehensive experimental investigation of orbital-to-charge conversion in metallic and semiconductor materials, emphasizing the fundamental roles of the inverse orbital Hall effect (IOHE) and the inverse orbital Rashba effect.…

Mesoscale and Nanoscale Physics · Physics 2026-03-26 E. Santos , J. L. Costa , R. L. Rodriguez-Suarez , J. B. S. Mendes , A. Azevedo

The Kubo formula is used to calculate the spin-Hall conductivity in a spin-polarized two-dimensional electron system with Rashba-type spin-orbit interaction. As in the case of the unpolarized electron system, spin Hall conductivity is…

Materials Science · Physics 2009-11-13 C. P. Moca , D. C. Marinescu

The non-relativistic spin-momentum locking in altermagnets gives rise to a time-reversal-odd spin Hall effect, known as the altermagnetic spin-splitting effect (ASSE). Although ASSE was first reported in RuO$_2$, subsequent experiments have…

Materials Science · Physics 2026-02-13 Seungjun Lee , Seung Gyo Jeong , Jian-Ping Wang , Bharat Jalan , Tony Low

We employ quadratic-response Kubo formulas to investigate the nonlinear magnetotransport in bilayers composed of a topological insulator and a magnetic insulator, and predict both unidirectional magnetoresistance and nonlinear planar Hall…

Mesoscale and Nanoscale Physics · Physics 2024-05-08 M. Mehraeen , Steven S. -L. Zhang

We theoretically investigate the vortex spin Hall effect, i.e., a novel spin Hall effect driven by the motion of superconducting vortices, by focusing on the role of superconducting fluctuations. Within the BCS-Gor'kov microscopic approach…

Superconductivity · Physics 2021-04-15 Takuya Taira , Yusuke Kato , Masanori Ichioka , Hiroto Adachi

We study the anomalous Hall effect arising from the altermagnetic order and spin-orbit interaction in doped FeSb$_2$. To investigate the anomalous transport, we have constructed a tight-binding model of FeSb$_2$. We separately considered…

Strongly Correlated Electrons · Physics 2024-09-20 Lotan Attias , Alex Levchenko , Maxim Khodas

Orbital Kondo effect in a system of two single-level quantum dots attached to external electron reservoirs is considered theoretically. The dots are coupled via direct hoping term and Coulomb interaction. The Kondo temperature is evaluated…

Mesoscale and Nanoscale Physics · Physics 2010-09-28 Piotr Trocha

We propose a mechanism of spin Hall effect in two-dimensional electron gas with spatially random Rashba spin-orbit interaction. The calculations based on the Kubo formalism and kinetic equation show that in contrast to the constant…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 V. K. Dugaev , M. Inglot , E. Ya. Sherman , J. Barnas

The coupled kinetic equation for density and spin Wigner functions are derived including spin-orbit coupling, electric and magnetic field as well as selfconsistent Hartree meanfields suited for SU(2) transport. The interactions are assumed…

Strongly Correlated Electrons · Physics 2015-12-23 K. Morawetz

RuO$_2$ is one of the most highlighted candidates for altermagnetism. However, the most recent muon spin spectroscopy and neutron studies demonstrated the absence of magnetic order in this system. The electronic structure of RuO$_2$ hints…

Materials Science · Physics 2025-02-04 Andriy Smolyanyuk , Libor Šmejkal , Igor I. Mazin

A Kubo inspired formalism is proposed to compute the longitudinal and transverse dynamical conductivities of an electron in a plane (or a gas of electrons at zero temperature) coupled to the potential vector of an external local magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Jean Desbois , Stéphane Ouvry , Christophe Texier

A fully relativistic description of the spin-orbit induced spin Hall effect is presented that is based on Kubo's linear response formalism. Using an appropriate operator for the spin current density a Kubo-St\v{r}eda-like equation for the…

Kubo's linear response formalism has been used to calculate the orbital Hall conductivity (OHC) for non-magnetic undoped and doped transition metal systems, focusing on the impact of different types of disorder and the role of vertex…

Materials Science · Physics 2024-08-16 Sergiy Mankovsky , Hubert Ebert

Altermagnets, a newly discovered class of magnets, integrate the advantages of both ferromagnets and antiferromagnets, such as enabling anomalous transport without stray fields and supporting ultrafast spin dynamics, offering exciting…

Mesoscale and Nanoscale Physics · Physics 2026-01-05 Xian-Peng Zhang , Run-Wu Zhang , Xiaolong Fan , Wanxiang Feng , Xiangrong Wang , Yugui Yao

We derive the topological Chern number of the integer quantum Hall effect in electrical conductivity, using Buot's superfield and lattice Weyl transform nonequilibrium quantum transport formalism. The method is naturally straightforward,…

Mesoscale and Nanoscale Physics · Physics 2021-03-23 Felix A. Buot

The polar Kerr effect in superconducting Sr$_2$RuO$_4$ implies finite ac anomalous Hall conductivity. Since intrinsic anomalous Hall effect (AHE) is not expected for a chiral superconducting pairing developed on the single Ru $d_{xy}$…

Superconductivity · Physics 2020-11-30 Jia-Long Zhang , Yu Li , Wen Huang , Fu-Chun Zhang

We clarify the origin of what is sometimes called the "topological anomalous Hall effect," provide analytical formulas to compute all the contributions to the Hall conductivity in the presence of Kondo-coupled spins and spin orbit coupling.…

Strongly Correlated Electrons · Physics 2026-04-01 Lucile Savary

We investigate the optical response induced by a d.c. current flowing in a nonmagnetic material that lacks inversion symmetry. In this class of materials, the flowing current experiences a nonlinear Hall effect and induces a nonequilibrium…

Materials Science · Physics 2024-06-25 Diego Garcia Ovalle , Armando Pezo , Aurélien Manchon

The vibrational modes in Sr$_2$RuO$_4$ easily induce octahedral rotations without tilting. Being on the verge of a magnetic instability, such propensity of octahedral rotation may also produce magnetic fluctuations. In this work, we analyze…

The Hall conductivity given by the Kubo formula is a linear response of the quantum transverse transport to a weak electric field. It has been intensively studied for a quantum system without decoherence, but it is barely explored for…

Quantum Physics · Physics 2014-10-14 H. Z. Shen , W. Wang , X. X. Yi